NYPD substance-abuse counselors allegedly refused to believe the officers’ claims they weren’t boozers but were the targets of unfounded complaints by angry acquaintances or exes, according to a lawsuit.

Officers Jamie Nardini, Kathleen Makinen and Angel Torres say they were forced in separate incidents to report to the department’s Counseling Services Unit, where they faced unrelenting pressure to attend 30-day in-patient rehabilitation for alcohol abuse.

In each case, the cops claim they were labeled as alcoholics after the department received complaints from people with grudges.

Nardini, 32, of upstate Patterson, and Makinen, 42, of Farmingville, LI, say their troubles began as each was in a fierce custody battle with an ex, according to the lawsuit filed in Manhattan Supreme Court last month.

Nardini was forced to watch educational videos, while Makinen was ordered to spend a month in a Pennsylvania rehab — and then pay $2,800 to cover the cost because her insurance wouldn’t pay for it, she claims in court papers.

Torres, of Queens, was required to go to rehab after an acquaintance falsely accused him of assault at a party, he said.